Question

what is 720° converted to radians?
options:
1/4
π/4
4/π
4π

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, we use the formula: \( \text{radians} = \text{degrees} \times \frac{\pi}{180^\circ} \)

Step2: Substitute the given value

We have \( 720^\circ \), so substitute into the formula: \( 720^\circ \times \frac{\pi}{180^\circ} \)

Step3: Simplify the expression

Simplify \( \frac{720}{180} \), which equals 4. So the result is \( 4\pi \)

Answer:

\( 4\pi \) (corresponding to the option "4π")